Name
Title | ||
|---|---|---|
The optimal error estimate and superconvergence of the local discontinuous Galerkin methods for one-dimensional linear fifth order time dependent equations. |
Abstract | ||
|---|---|---|
In this paper, we investigate the optimal error estimate and the superconvergence of linear fifth order time dependent equations. We prove that the local discontinuous Galerkin (LDG) solution is ( k + 1 ) th order convergent when the piecewise P k space is used. Also, the numerical solution is ( k + 3 2 ) th order superconvergent to a particular projection of the exact solution. The numerical experiences indicate that the order of the superconvergence is ( k + 2 ) , which implies the result obtained in this paper is suboptimal. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.camwa.2016.05.030 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Local discontinuous Galerkin method,Superconvergence,Error estimate | Discontinuous Galerkin method,Exact solutions in general relativity,Mathematical optimization,k-space,Mathematical analysis,Superconvergence,Piecewise,Mathematics | Journal |
Volume | Issue | ISSN |
72 | 3 | 0898-1221 |
Citations | PageRank | References |
2 | 0.37 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hui Bi | 1 | 2 | 0.71 |
| Chengeng Qian | 2 | 2 | 0.37 |
| Yang Sun | 3 | 46 | 15.21 |